Finite energy solutions of quasilinear elliptic equations with sub-natural growth terms

Cao Tien Dat, Igor E. Verbitsky

We study finite energy solutions to quasilinear elliptic equations of the type $$-{\Delta }_{p}u=\sigma u^q\text{in }{\mathbb{R}}^n,$$ where ${\Delta }_p$ is the $p$-Laplacian, $p>1$, and $\sigma$ is…